Published June 3, 2005
| Version v1
Journal article
Scattering by local deformations of a straight leaky wire
Creators
- 1. Nuclear Physics Institute, Academy of Sciences, 25068 Rez (Czech Republic)
- 2. Institute of Physics, University of Zielona Gora, ul. Szafrana 4a, 65246 Zielona Gora (Poland)
Description
We consider a model of a leaky quantum wire with the Hamiltonian -Δ - αδ(x - Γ) in L2(R2), where Γ is a compact deformation of a straight line. The existence of wave operators is proven and the S-matrix is found for the negative part of the spectrum. Moreover, we conjecture that the scattering at negative energies becomes asymptotically purely one-dimensional, being determined by the local geometry in the leading order, if Γ is a smooth curve and α → ∞
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/4865/a5_22_011.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/4865/a5_22_011.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/22/011;
- PII
- S0305-4470(05)87361-5;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 22
- Journal Page Range
- p. 4865-4874
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36095958
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DEFORMATION; GEOMETRY; HAMILTONIANS; MATHEMATICAL MODELS; ONE-DIMENSIONAL CALCULATIONS; QUANTUM WIRES; S MATRIX; SCATTERING; WAVE FUNCTIONS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; MATRICES; NANOSTRUCTURES; QUANTUM OPERATORS